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Simplifying 7m + -23 = -31 + 6m Reorder the terms: -23 + 7m = -31 + 6m Solving -23 + 7m = -31 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -23 + 7m + -6m = -31 + 6m + -6m Combine like terms: 7m + -6m = 1m -23 + 1m = -31 + 6m + -6m Combine like terms: 6m + -6m = 0 -23 + 1m = -31 + 0 -23 + 1m = -31 Add '23' to each side of the equation. -23 + 23 + 1m = -31 + 23 Combine like terms: -23 + 23 = 0 0 + 1m = -31 + 23 1m = -31 + 23 Combine like terms: -31 + 23 = -8 1m = -8 Divide each side by '1'. m = -8 Simplifying m = -8
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